If the degree of the polynomial $3 x^{a - 2} + 2 x^{4} + 3 x^{3} + x^{2} + 10$ is $7$ then the value of $a$ is

5

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3

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9

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0

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Solution

The correct option is C $9$
Given: $3 x^{a - 2} + 2 x^{4} + 3 x^{3} + x^{2} + 10$
It is given that the order of the polynomial is $7,$
Then the highest power of $x$ in the polynomial should be equal to $7$ which in this case can only be $a - 2$
$\Rightarrow a - 2 = 7$
$\Rightarrow a = 9$

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